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13474061520 = 2435472514759
BaseRepresentation
bin11001000110001110…
…11101110011010000
31021210000211020121120
430203013131303100
5210043324432040
610105003522240
7654620430123
oct144307356320
937700736546
1013474061520
115794835937
122740529380
13136967468a
1491b6cc3ba
1553cd947d0
hex3231ddcd0

13474061520 has 160 divisors (see below), whose sum is σ = 42837258240. Its totient is φ = 3501888000.

The previous prime is 13474061479. The next prime is 13474061521. The reversal of 13474061520 is 2516047431.

13474061520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13474061521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2828901 + ... + 2833659.

It is an arithmetic number, because the mean of its divisors is an integer number (267732864).

Almost surely, 213474061520 is an apocalyptic number.

13474061520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13474061520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21418629120).

13474061520 is an abundant number, since it is smaller than the sum of its proper divisors (29363196720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13474061520 is a wasteful number, since it uses less digits than its factorization.

13474061520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5073 (or 5067 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 13474061520 in words is "thirteen billion, four hundred seventy-four million, sixty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 251 282 376 470 502 564 705 752 753 940 1004 1128 1255 1410 1506 1880 2008 2256 2510 2820 3012 3760 3765 4016 4759 5020 5640 6024 7530 9518 10040 11280 11797 12048 14277 15060 19036 20080 23594 23795 28554 30120 35391 38072 47188 47590 57108 58985 60240 70782 71385 76144 94376 95180 114216 117970 141564 142770 176955 188752 190360 223673 228432 235940 283128 285540 353910 380720 447346 471880 566256 571080 671019 707820 894692 943760 1118365 1142160 1194509 1342038 1415640 1789384 2236730 2389018 2684076 2831280 3355095 3578768 3583527 4473460 4778036 5368152 5972545 6710190 7167054 8946920 9556072 10736304 11945090 13420380 14334108 17893840 17917635 19112144 23890180 26840760 28668216 35835270 47780360 53681520 56141923 57336432 71670540 95560720 112283846 143341080 168425769 224567692 280709615 286682160 336851538 449135384 561419230 673703076 842128845 898270768 1122838460 1347406152 1684257690 2245676920 2694812304 3368515380 4491353840 6737030760 13474061520